Question Detail

PHY 102 Test Compilation PHY 102 10 Objective Question

Question

The force on a charged particle depends on which of the following factors?
I. The charge on the body
II. The strength of the intensity of the field
III. The distance between the body and a test charge
Options
A I only
B I and II only
Correct Answer
C II and III only
D I, II and III only
Correct Answer

Option B is the correct answer.

Detailed Explanation

The electric force (F) experienced by a charged particle (q) in an electric field (E) is given by the formula F = qE.I. The force is directly proportional to the charge (q) on the body. So, statement I is true.II. The force is directly proportional to the strength of the electric field (E). So, statement II is true.III. The 'distance between the body and a test charge' is generally a factor in determining the electric field strength (E) if the field is produced by another point charge. However, the question asks what the force 'depends on' once the particle is in the field. The direct factors are its charge and the field strength at its location. If the field is already specified by E, then distance to a hypothetical 'test charge' is not an independent factor for the force on the particle itself.Therefore, the force directly depends on the charge of the particle and the strength of the electric field it is in. So, only I and II are correct.

Hint

Recall the fundamental formula for the force experienced by a charge in an electric field (F=qE).

Question Info